Balanced Proper Orthogonal Decomposition Applied to Magnetoquasistatic Problems Through a Stabilization MethodologyReport as inadecuate




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1 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - EA 2697 2 EDF R&D - EDF Recherche et Développement

Abstract : Model Order Reduction MOR methods are applied in different areas of physics in order to reduce the computational time of large scale systems.
It has been an active field of research for many years, in mechanics especially, but it is quite recent for magnetoquasistatic problems.
Although the most famous method, the Proper Orthogonal Decomposition POD has been applied for modelling many electromagnetic devices, this method can lack accuracy for low order magnitude output quantities, like flux associated with a probe in regions where the field is low.
However, the Balanced Proper Orthogonal Decomposition BPOD is a MOR method which takes into account these output quantities in its reduced model to render them accurately.
Even if the BPOD may lead to unstable reduced systems, this can be overcome by a stabilization procedure.
Therefore, the POD and stabilized BPOD will be compared on a 3D linear magnetoquasistatic field problem.


Keywords : Proper Orthogonal Decomposition Stabilization Balanced Proper Orthogonal Decomposition Balanced Truncation Model Order Reduction





Author: Laurent Montier - Thomas Henneron - Benjamin Goursaud - Stéphane Clenet -

Source: https://hal.archives-ouvertes.fr/



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